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Fittoniya [83]
3 years ago
10

How to convert 5 3/8 to a inproper fraction

Mathematics
2 answers:
Mila [183]3 years ago
7 0

Answer:

43/8

Step-by-step explanation:

if you split 5 into parts of 8 than that becomes 40/8 plus the 3/8 is 43/8

GrogVix [38]3 years ago
6 0

To write a mixed number as an improper fraction, first multiply the denominator by the whole number and then add the numerator. Finally we put your new number over our old denominator and we have our answer.

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So the rule with multiplying exponents of the same base is x^m*x^n=x^{m+n} . Apply this rule here:

7^{-\frac{5}{6}}*7^{-\frac{7}{6}}=7^{-\frac{5}{6}+{-\frac{7}{6}}}=7^{-\frac{12}{6}}=7^{-2}

Next, the rule with converting negative exponents into positive ones is x^{-m}=\frac{1}{x^m} . Apply this rule here:

7^{-2}=\frac{1}{7^2}=\frac{1}{49}

<u>Your final answer is 1/49.</u>

<h2>------------------------------------------------</h2>

So an additional rule when it comes to exponents is x^{\frac{m}{n}}=\sqrt[n]{x^m}

In this case, your fractional exponent, x^9/7, would be converted to \sqrt[7]{x^9} . However, I had just realized you can further expand this.

Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:

\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}

Your final answer would be x\sqrt[7]{x^2}

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